The generalized recurrent set and strong chain recurrence

DOI10.1017/etds.2016.35zbMath1390.37026arXiv1512.03365OpenAlexW2193444534MaRDI QIDQ4643264

Jim Wiseman

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03365

zbMATH Keywords

Auslander's recurrent setEaston's recurrent set

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (7)

Strong chain transitivity via uniformity ⋮ The generalized recurrent set, explosions and Lyapunov functions ⋮ SOME PROPERTIES OF STRONG CHAIN TRANSITIVE MAPS ⋮ Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites ⋮ Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set ⋮ Chain recurrence and strong chain recurrence on uniform spaces ⋮ A Conley-type decomposition of the strong chain recurrent set

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